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Modern Physics Letters B, 2020
In this paper, the lump-type solutions, interaction solutions, and periodic lump solutions of the generalized ([Formula: see text])-dimensional Burgers equation were obtained by using the ansatz method. Based on a variable transformation, the generalized ([Formula: see text])-dimensional Burgers equation was transformed into a bilinear equation.
Chun-Na Gao, Yun-Hu Wang
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In this paper, the lump-type solutions, interaction solutions, and periodic lump solutions of the generalized ([Formula: see text])-dimensional Burgers equation were obtained by using the ansatz method. Based on a variable transformation, the generalized ([Formula: see text])-dimensional Burgers equation was transformed into a bilinear equation.
Chun-Na Gao, Yun-Hu Wang
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Computers & Mathematics with Applications, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Qiang, Chaolu, Temuer, Wang, Yun-Hu
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Qiang, Chaolu, Temuer, Wang, Yun-Hu
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Lump solutions and interaction solutions for (2 + 1)-dimensional KPI equation
Frontiers of Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo, Yanfeng +2 more
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Physica Scripta, 2023
In this article, we investigate the generalized (3+1)-dimensional KdV-Benjamin-Bona-Mahony equation governed with constant coefficients. It applies the Painlevé analysis to test the complete integrability of the concerned KdV-BBM equation.
S Kumar, B. Mohan, Raj Kumar
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In this article, we investigate the generalized (3+1)-dimensional KdV-Benjamin-Bona-Mahony equation governed with constant coefficients. It applies the Painlevé analysis to test the complete integrability of the concerned KdV-BBM equation.
S Kumar, B. Mohan, Raj Kumar
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M-lump and hybrid solutions of a generalized (2+1)-dimensional Hirota-Satsuma-Ito equation
Applied Mathematics Letters, 2021In this paper, the N -soliton solutions of a generalized (2+1)-dimensional Hirota–Satsuma–Ito equation are obtained by means of the bilinear method. By applying the long wave limit to the N -solitons, the M -lump waves are constructed.
Zhonglong Zhao, Lingchao He
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Lump and Lump–Kink Soliton Solutions of an Extended Boiti–Leon–Manna–Pempinelli Equation
International Journal of Nonlinear Sciences and Numerical Simulation, 2020Abstract In this paper, the extended Boiti–Leon–Manna–Pempinelli equation (eBLMP) is first proposed, and by Ma’s [1] method, a class of lump and lump–kink soliton solutions is explicitly generated by symbolic computations. The propagation orbit, velocity and extremum of the lump solutions on (x,y) plane are studied in detail. Interaction
Guo, Han-Dong, Xia, Tie-Cheng
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Lump solutions of the BKP equation
Physics Letters A, 1990The BKP equation (Date, Jimbo, Kashiwara and Miwa 1981, Jimbo and Miwa 1983) $${({{\rm{u}}_{\rm{t}}} + 15{\rm{u}}{{\rm{u}}_{{\rm{3x}}}} + 15{\rm{u}}_{\rm{x}}^{\rm{3}} - 15{{\rm{u}}_{\rm{x}}}{{\rm{u}}_{\rm{y}}} + {{\rm{u}}_{{\rm{5x}}}})_{\rm{x}}} - 5{{\rm{u}}_{{\rm{3x,y}}}} - 5{{\rm{u}}_{{\rm{yy}}}} - 0,$$ (1) is a 2+1 dimensional generalisation ...
C.R Gilson, J.J.C Nimmo
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Lump solutions of the 2D Toda equation
Mathematical Methods in the Applied Sciences, 2020In this research, the lump solution, which is rationally localized and decays along the directions of space variables, of a 2D Toda equation is studied. The effective method of constructing the lump solutions of this 2D Toda equation is derived, and the constraint conditions that make the lump solutions analytical and positive are obtained as well ...
Yong‐Li Sun +2 more
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International Journal of Modern Physics B, 2022
In this paper, we get certain the lump-trigonometric solutions and rogue waves with predictability of a (2+1)-dimensional Konopelchenko–Dubrovsky equation in fluid dynamics with the assistance of Maple based on the Hirota bilinear form.
Yongyi Gu +4 more
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In this paper, we get certain the lump-trigonometric solutions and rogue waves with predictability of a (2+1)-dimensional Konopelchenko–Dubrovsky equation in fluid dynamics with the assistance of Maple based on the Hirota bilinear form.
Yongyi Gu +4 more
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Nondegeneracy of the lump solution to the KP-I equation
, 2017Let $Q(x,y)= 4 \frac{y^2-x^2+3}{ (x^2+y^2+3)^2}$ be the lump solution of the KP-I equation $$ \partial_x^2 (\partial_x^2 u-u + 3 u^2)-\partial_y^2 u=0.$$ We show that this solution is rigid in the following senses: the only decaying solutions to the ...
Yong Liu, Jun-cheng Wei
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